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  • Části II pojednává o monotonii a vzájemném porovnání dynamických systémů ve spojitém čase pro případ, že generátorem jsou obecné nezáporné matice. Na rozdíl od diskrétních modelů dosažené poznatky nevyplývají přímo z obdobných vlastností pro stochastické modely. Z tohoto důvodu je nejprve rozpracována jistá diskrétní transformace, která umožňuje využít výsledků dosažených v části I. Dosažené poznatky jsou detailně ilustrovány na příkladu z oblasti teorie spolehlivosti. (cs)
  • This second Part II deals with monotonicity and comparison results, as genralization of the pure stochastic case, for stochastic dynamic systems with arbitrary nonnegative generators in the continuous-time case. In contrast with the disctere-time case, the generalization is no longer straightforward. A discrete-time transformation will therefore be developed first. Next results from Part I can be adopted. The results will be illustrated in detail on a reliability application that initiated the research.
  • This second Part II deals with monotonicity and comparison results, as genralization of the pure stochastic case, for stochastic dynamic systems with arbitrary nonnegative generators in the continuous-time case. In contrast with the disctere-time case, the generalization is no longer straightforward. A discrete-time transformation will therefore be developed first. Next results from Part I can be adopted. The results will be illustrated in detail on a reliability application that initiated the research. (en)
Title
  • Monotonicity and comparsion results for nonnegative dynamic system. Part II: Continuous-time case
  • Monotonicity and comparsion results for nonnegative dynamic system. Part II: Continuous-time case (en)
  • Monotonie a porovnání pro nezáporné dynamické systémy. Část II: Spojité modely. (cs)
skos:prefLabel
  • Monotonicity and comparsion results for nonnegative dynamic system. Part II: Continuous-time case
  • Monotonicity and comparsion results for nonnegative dynamic system. Part II: Continuous-time case (en)
  • Monotonie a porovnání pro nezáporné dynamické systémy. Část II: Spojité modely. (cs)
skos:notation
  • RIV/67985556:_____/06:00039070!RIV07-AV0-67985556
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  • Markov chains; monotonicoty; nonnegative matrices (en)
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  • 42
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  • Sladký, Karel
  • van Dijk, N. M.
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  • 0023-5954
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